Johnny Thunders (New York Dolls) is where the legend starts. With teased hair, platform shoes and a low-slung TV Yellow '59 Les Paul TV Junior, Thunders created the visual and sonic template that punk guitarists have followed ever since. Minimal, direct, and pure rock and roll.
Sylvain Sylvain (New York Dolls) was the other half of that partnership, and he laid claim to the influence himself with the quote above. Sylvain started out on Les Paul Juniors, and between the two of them the Dolls turned a discount student guitar into a statement.
Mick Jones (The Clash) took it to a global audience. Jones used 1950s double-cut Les Paul Juniors through his Clash years and beyond, most famously a Cherry model on stage, and later a vintage TV Yellow variant from around 1981. He has been open about being inspired by Thunders, which makes him the crucial link in the chain from New York proto-punk to British punk.
Billie Joe Armstrong (Green Day) carried the Junior into the modern era. His main guitar is a 1956 sunburst Les Paul Junior nicknamed "Floyd," which he found at a guitar show in San Rafael, California around 2000, just before Green Day recorded Warning. It has been the foundation of his guitar sound for over twenty years — he describes it as simple, raw and powerful — and Gibson has since released a Billie Joe Armstrong signature Les Paul Junior. For a generation of players, "Floyd" is the punk guitar.
Brian Baker (Bad Religion) is a serious Junior devotee. His main stage guitars are 1955 Les Paul Juniors — he owns several, taking two on the road (refretted, and loaded with ceramic Seymour Duncan pickups) while keeping a cleaner '55 Junior and a '57 Special safe at home.
Mike Dimkich (Bad Religion) rounds out the band's commitment to the format, with a refurbished 1958 Les Paul Junior as a main stage guitar plus a late 1959 Junior he favours for its rounded body edges and big neck profile, fitted with a Seymour Duncan Antiquity P-90.
Bad Religion, notably, take genuine vintage Gibsons out on tour rather than leaving them in cases, which is about as punk an attitude to vintage gear as you will find.